Binary, Octal and Hex Numbers Copyright Thaddeus Konar

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Binary, Octal and Hex Numbers Copyright Thaddeus Konar Introduction to Binary, Octal and Hexadecimal Numbers Part 3 – Octal Numbers Thaddeus Konar 11/11/2018 Slide # 1 Binary, Octal and Hex Numbers Copyright Thaddeus Konar

Binary, Octal and Hex Numbers Copyright Thaddeus Konar Octal Integers 1 Just as the each digit (position) in decimal integer is represented by the power of 10, in binary integer each digit represents power of 2, in octal numbers each digit is represented by the power of 8 (Base = 8). Digits range: 0 -> (Base - 1) Number of values represented by a single digit: Base Digits range: 0 -> 7 (0,1, 2, 3, 4, 5, 6, 7) Number of values represented by a single digit: 8 11/11/2018 Slide # 2 Binary, Octal and Hex Numbers Copyright Thaddeus Konar

Binary, Octal and Hex Numbers Copyright Thaddeus Konar Octal Integers 2 In the decimal number the digits could be 0,1,2,3,4,5,6,7,8,9. (0 -> Base-1), in binary 0,1 (Base-1), so as you can suspect in octal numbers the digits would be 0,1,2,3,4,5,6,7 (0 -> Base-1). The single decimal number can represent 10 values, the single binary number can represent only 2 values, and single octal number can represent 8 values. 11/11/2018 Slide # 3 Binary, Octal and Hex Numbers Copyright Thaddeus Konar

Binary, Octal and Hex Numbers Copyright Thaddeus Konar Octal Integers 3 In octal integers Base = 8. Please recall the formula: (D0*B0)+(D1*B1)+(D2*B2)+(D3*B3)+…(Dn*Bn) B0=1, B1=8, B2=64, B3 =512, B4=4096… Lets look at the octal number 4153 D0=3, D1=5, D2=1, D3=4 11/11/2018 Slide # 4 Binary, Octal and Hex Numbers Copyright Thaddeus Konar

Binary, Octal and Hex Numbers Copyright Thaddeus Konar Octal Integers 4 …4153 means: (3*80)+(5*81)+(1*82)+(4*83) = (3*1)+(5*8)+(1*64)+(4*512) = 215510 Here are the first few octal numbers: 00008 = 010 00048 = 410 00108 = 810 00148 = 1210 00208 = 1610 00018 = 110 00058 = 510 00118 = 910 00158 = 1310 00218 = 1710 00028 = 210 00068 = 610 00128 = 1010 00168 = 1410 00228 = 1810 00038 = 310 00078 = 710 00138 = 1110 00178 = 1510 00238 = 1910 11/11/2018 Slide # 5 Binary, Octal and Hex Numbers Copyright Thaddeus Konar